{"id":2068,"date":"2017-11-07T10:26:30","date_gmt":"2017-11-07T10:26:30","guid":{"rendered":"https:\/\/soniuch.net\/?p=2068"},"modified":"2017-11-07T10:26:30","modified_gmt":"2017-11-07T10:26:30","slug":"%d1%8d%d0%bd%d0%b5%d1%80%d0%b3%d0%b8-%d1%85%d0%b0%d0%b4%d0%b3%d0%b0%d0%bb%d0%b0%d0%b3%d0%b4%d0%b0%d1%85-%d1%85%d1%83%d1%83%d0%bb%d1%8c-%d0%b1%d0%be%d0%b4%d0%bb%d0%be%d0%b3%d0%be-1","status":"publish","type":"post","link":"https:\/\/soniuch.net\/?p=2068","title":{"rendered":"\u042d\u043d\u0435\u0440\u0433\u0438 \u0445\u0430\u0434\u0433\u0430\u043b\u0430\u0433\u0434\u0430\u0445 \u0445\u0443\u0443\u043b\u044c: \u0411\u043e\u0434\u043b\u043e\u0433\u043e 1"},"content":{"rendered":"<p>\u0425\u0443\u0432\u0430\u043d\u0446\u0430\u0440 \u04af\u0440\u044d\u043b $h$ \u04e9\u043d\u0434\u0440\u04e9\u04e9\u0441 \u0448\u0430\u043b\u0430\u043d \u0434\u044d\u044d\u0440 \u0443\u043d\u0430\u0430\u0434 \u043e\u0439\u0436\u044d\u044d. \u0425\u044d\u0440\u044d\u0432 \u0443\u043d\u0430\u0445 \u0430\u0433\u0448\u043d\u0430\u0430\u0441 2 \u0434\u0430\u0445\u044c \u0443\u0434\u0430\u0430\u0433\u0430\u0430 \u0448\u0430\u043b \u0434\u044d\u044d\u0440\u044d\u044d\u0441 \u043e\u0439\u0445 \u0445\u04af\u0440\u0442\u044d\u043b $t$ \u0445\u0443\u0433\u0430\u0446\u0430\u0430 \u04e9\u043d\u0433\u04e9\u0440\u0441\u04e9\u043d \u0431\u043e\u043b \u0441\u044d\u0440\u0433\u044d\u0445 \u043a\u043e\u044d\u0444\u0444\u0438\u0446\u0438\u0435\u0442\u0438\u0439\u0433 \u043e\u043b.<\/p>\n<hr \/>\n<p>\u04e8\u0433\u04e9\u0433\u0434\u0441\u04e9\u043d \u043d\u044c:<\/p>\n<p>$h$<\/p>\n<p>$t$<\/p>\n<p>\u041e\u043b\u043e\u0445 \u043d\u044c:<\/p>\n<p>$k = ?$<\/p>\n<p>\u0411\u043e\u0434\u043e\u043b\u0442:<\/p>\n<p>&#8211; &#8211; &#8211; &#8211; &#8211; &#8211; &#8211; &#8211; &#8211; &#8211; &#8211; &#8211; &#8211; &#8211; &#8211; &#8211; &#8211; &#8211; &#8211; &#8211; &#8211; &#8211; &#8211;<\/p>\n<p>$h$ \u04e9\u043d\u0434\u0440\u04e9\u04e9\u0441 \u0443\u043d\u0430\u0430\u0434 \u0431\u0443\u0446\u0430\u0436 \u043e\u0439\u043d $h_1$ \u04e9\u043d\u0434\u04e9\u0440\u0442 \u0433\u0430\u0440\u0441\u0430\u043d \u0433\u044d\u0432\u044d\u043b \u0441\u044d\u0440\u0433\u044d\u0445 \u043a\u043e\u044d\u0444\u0444\u0438\u0446\u0438\u0435\u043d\u0442 \u043d\u044c<\/p>\n<p>$$k = \\frac{h_1}{h} = \\frac{mgh_1}{mgh} \\qquad \\qquad (1)$$<\/p>\n<p>\u0431\u0430\u0439\u043d\u0430. \u042d\u043d\u044d \u043d\u044c \u044d\u043d\u0435\u0440\u0433\u0438\u0439\u043d \u0445\u044d\u0434\u044d\u043d \u0445\u0443\u0432\u044c \u043d\u044c \u0441\u044d\u0440\u0433\u044d\u0436 \u0431\u0430\u0439\u0433\u0430\u0430\u0433 \u0445\u0430\u0440\u0443\u0443\u043b\u043d\u0430. \u0423\u043d\u0430\u0445 \u0430\u0433\u0448\u043d\u0430\u0430\u0441 \u0445\u043e\u0439\u0448 2 \u0434\u0430\u0445\u044c \u0443\u0434\u0430\u0430\u0433\u0430\u0430 \u043e\u0439\u0445 \u0445\u04af\u0440\u0442\u044d\u043b $t$ \u0445\u0443\u0433\u0430\u0446\u0430\u0430 \u0437\u0430\u0440\u0446\u0443\u0443\u043b\u0441\u0430\u043d. \u042d\u043d\u044d \u0445\u0443\u0433\u0430\u0446\u0430\u0430\u0433<\/p>\n<p>$$t = t_0 + 2 t_1 \\quad \\quad (2)$$<\/p>\n<p>\u0433\u044d\u0436 \u0431\u0438\u0447\u044c\u0435. \u042d\u043d\u0434 $t_0$ \u043d\u044c $h$ \u04e9\u043d\u0434\u0440\u04e9\u04e9\u0441 \u0448\u0430\u043b \u0445\u04af\u0440\u044d\u0445 \u0445\u0443\u0433\u0430\u0446\u0430\u0430, $t_1$ \u043d\u044c \u0448\u0430\u043b\u043d\u0430\u0430\u0441 \u043e\u0439\u0436 $h_1$ \u04e9\u043d\u0434\u04e9\u0440\u0442 \u0445\u04af\u0440\u044d\u0445 \u0431\u0443\u044e\u0443 $h_1$ \u04e9\u043d\u0434\u0440\u04e9\u04e9\u0441 \u044d\u0440\u0433\u044d\u0436 \u0448\u0430\u043b\u0430\u043d\u0434 \u0445\u04af\u0440\u044d\u0445 \u0445\u0443\u0433\u0430\u0446\u0430\u0430 \u0431\u043e\u043b\u043d\u043e.<\/p>\n<p>$$h = \\frac{gt^2}{2} \\quad \\to \\quad t_0 = \\sqrt{\\frac{2h}{g}} \u00a0\\quad \\quad (3)$$<\/p>\n<p>$$h_1 = \\frac{gt_1^2}{2} \\quad \\to \\quad t_1 = \\sqrt{\\frac{2h_1}{g}} \\quad \\quad (4)$$<\/p>\n<p>\u042d\u0434\u0433\u044d\u044d\u0440\u0438\u0439\u0433 (2) \u0442\u044d\u0433\u0448\u0438\u0442\u0433\u044d\u043b\u0434 \u043e\u0440\u043b\u0443\u0443\u043b\u0431\u0430\u043b:<\/p>\n<p>$$ t = \\sqrt{\\frac{2h}{g}} + 2\\sqrt{\\frac{2h_1}{g}} \\quad \\quad (5)$$<\/p>\n<p>(1)-\u0440 \u0442\u044d\u0433\u0448\u0438\u0442\u0433\u044d\u043b\u044d\u044d\u0441 $h_1 = k h$ \u0431\u043e\u043b\u043e\u0445\u044b\u0433 (5) \u0442\u044d\u0433\u0448\u0438\u0442\u0433\u044d\u043b\u0434 \u043e\u0440\u043b\u0443\u0443\u043b\u0431\u0430\u043b:<\/p>\n<p>$$t = \\sqrt{\\frac{2h}{g}} \\bigg( 1 + 2 \\sqrt{k}\\bigg) \\quad \\quad (6)$$<\/p>\n<p>\u0421\u04af\u04af\u043b\u0438\u0439\u043d \u0442\u044d\u0433\u0448\u0438\u0442\u0433\u044d\u043b\u044d\u044d\u0441 $k$-\u0433 \u043e\u043b\u0431\u043e\u043b:<\/p>\n<p>$$k = \\frac{1}{4} \\bigg( t \\sqrt{\\frac{q}{2h}} &#8211; 1\\bigg)^2 $$<\/p>\n<p>&nbsp;<\/p>\n<p>&nbsp;<\/p>\n<p>&nbsp;<\/p>\n","protected":false},"excerpt":{"rendered":"<p>\u0425\u0443\u0432\u0430\u043d\u0446\u0430\u0440 \u04af\u0440\u044d\u043b $h$ \u04e9\u043d\u0434\u0440\u04e9\u04e9\u0441 \u0448\u0430\u043b\u0430\u043d \u0434\u044d\u044d\u0440 \u0443\u043d\u0430\u0430\u0434 \u043e\u0439\u0436\u044d\u044d. \u0425\u044d\u0440\u044d\u0432 \u0443\u043d\u0430\u0445 \u0430\u0433\u0448\u043d\u0430\u0430\u0441 2 \u0434\u0430\u0445\u044c \u0443\u0434\u0430\u0430\u0433\u0430\u0430 \u0448\u0430\u043b \u0434\u044d\u044d\u0440\u044d\u044d\u0441 \u043e\u0439\u0445 \u0445\u04af\u0440\u0442\u044d\u043b $t$ \u0445\u0443\u0433\u0430\u0446\u0430\u0430 \u04e9\u043d\u0433\u04e9\u0440\u0441\u04e9\u043d \u0431\u043e\u043b \u0441\u044d\u0440\u0433\u044d\u0445 \u043a\u043e\u044d\u0444\u0444\u0438\u0446\u0438\u0435\u0442\u0438\u0439\u0433 \u043e\u043b. \u04e8\u0433\u04e9\u0433\u0434\u0441\u04e9\u043d \u043d\u044c: $h$ $t$ \u041e\u043b\u043e\u0445 \u043d\u044c: $k = ?$ \u0411\u043e\u0434\u043e\u043b\u0442: &#8211; &#8211; &#8211; &#8211; &#8211; &#8211; &#8211; &#8211; &#8211; &#8211; &#8211; &#8211; &#8211; &#8211; &#8211; &#8211; &#8211; &#8211; &#8211; &#8211;&#8230; <a class=\"read-more\" href=\"https:\/\/soniuch.net\/?p=2068\">Read more<\/a><\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"om_disable_all_campaigns":false,"_monsterinsights_skip_tracking":false,"_monsterinsights_sitenote_active":false,"_monsterinsights_sitenote_note":"","_monsterinsights_sitenote_category":0,"footnotes":""},"categories":[24],"tags":[],"class_list":["post-2068","post","type-post","status-publish","format-standard","hentry","category-kinematicsproblem"],"aioseo_notices":[],"_links":{"self":[{"href":"https:\/\/soniuch.net\/index.php?rest_route=\/wp\/v2\/posts\/2068","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/soniuch.net\/index.php?rest_route=\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/soniuch.net\/index.php?rest_route=\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/soniuch.net\/index.php?rest_route=\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/soniuch.net\/index.php?rest_route=%2Fwp%2Fv2%2Fcomments&post=2068"}],"version-history":[{"count":0,"href":"https:\/\/soniuch.net\/index.php?rest_route=\/wp\/v2\/posts\/2068\/revisions"}],"wp:attachment":[{"href":"https:\/\/soniuch.net\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=2068"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/soniuch.net\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=2068"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/soniuch.net\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=2068"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}